if m th term of an hp is n and the n th term is m then (m-n) th term is
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Answered by
5
Answer:
Therefore, mth term of an A.P. is n1 and nth term is m1. and thus mnth term of H.P is 1.
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Answered by
13
Answer:
Given that,m
th
term of an H.P. is n and n
th
term is m.
Therefore, m
th
term of an A.P. is
n
1
and n
th
term is
m
1
.
Let, a be the first term and d be the common difference of the A.P
Now, t
m
=a+(m−1)d=
n
1
....(1)
And t
n
=a+(n−1)d=
m
1
....(2)
Subtracting (1) & (2), we get
(m−n)d=
n
1
−
m
1
⇒d=
mn
1
Substituting d in (1), we get
a+
mn
(m−1)
=
n
1
⇒a=
mn
1
Therefore, t
mn
=a+(mn−1)d=
mn
1
+
mn
(mn−1)
=1
and thus mn
th
term of H.P is 1.
Step-by-step explanation:
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